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Ia32_eferbits

!ia32_eferbits->res1

Update the |X86ISA|::|RES1| field of a ia32_eferbits bit structure.

Signature
(!ia32_eferbits->res1 res1 x) → new-x
Arguments: res1 — Guard (7bits-p res1).; x — Guard (ia32_eferbits-p x).
Returns: new-x — Type (ia32_eferbits-p new-x).

Definitions and Theorems

Function: !ia32_eferbits->res1$inline

(defun !ia32_eferbits->res1$inline (res1 x)
  (declare (xargs :guard (and (7bits-p res1)
                              (ia32_eferbits-p x))))
  (mbe :logic
       (b* ((res1 (mbe :logic (7bits-fix res1)
                       :exec res1))
            (x (ia32_eferbits-fix x)))
         (part-install res1 x :width 7 :low 1))
       :exec (the (unsigned-byte 12)
                  (logior (the (unsigned-byte 12)
                               (logand (the (unsigned-byte 12) x)
                                       (the (signed-byte 9) -255)))
                          (the (unsigned-byte 8)
                               (ash (the (unsigned-byte 7) res1)
                                    1))))))

Theorem: ia32_eferbits-p-of-!ia32_eferbits->res1

(defthm ia32_eferbits-p-of-!ia32_eferbits->res1
  (b* ((new-x (!ia32_eferbits->res1$inline res1 x)))
    (ia32_eferbits-p new-x))
  :rule-classes :rewrite)

Theorem: !ia32_eferbits->res1$inline-of-7bits-fix-res1

(defthm !ia32_eferbits->res1$inline-of-7bits-fix-res1
  (equal (!ia32_eferbits->res1$inline (7bits-fix res1)
                                      x)
         (!ia32_eferbits->res1$inline res1 x)))

Theorem: !ia32_eferbits->res1$inline-7bits-equiv-congruence-on-res1

(defthm !ia32_eferbits->res1$inline-7bits-equiv-congruence-on-res1
  (implies (7bits-equiv res1 res1-equiv)
           (equal (!ia32_eferbits->res1$inline res1 x)
                  (!ia32_eferbits->res1$inline res1-equiv x)))
  :rule-classes :congruence)

Theorem: !ia32_eferbits->res1$inline-of-ia32_eferbits-fix-x

(defthm !ia32_eferbits->res1$inline-of-ia32_eferbits-fix-x
  (equal (!ia32_eferbits->res1$inline res1 (ia32_eferbits-fix x))
         (!ia32_eferbits->res1$inline res1 x)))

Theorem: !ia32_eferbits->res1$inline-ia32_eferbits-equiv-congruence-on-x

(defthm
    !ia32_eferbits->res1$inline-ia32_eferbits-equiv-congruence-on-x
  (implies (ia32_eferbits-equiv x x-equiv)
           (equal (!ia32_eferbits->res1$inline res1 x)
                  (!ia32_eferbits->res1$inline res1 x-equiv)))
  :rule-classes :congruence)

Theorem: !ia32_eferbits->res1-is-ia32_eferbits

(defthm !ia32_eferbits->res1-is-ia32_eferbits
  (equal (!ia32_eferbits->res1 res1 x)
         (change-ia32_eferbits x :res1 res1)))

Theorem: ia32_eferbits->res1-of-!ia32_eferbits->res1

(defthm ia32_eferbits->res1-of-!ia32_eferbits->res1
  (b* ((?new-x (!ia32_eferbits->res1$inline res1 x)))
    (equal (ia32_eferbits->res1 new-x)
           (7bits-fix res1))))

Theorem: !ia32_eferbits->res1-equiv-under-mask

(defthm !ia32_eferbits->res1-equiv-under-mask
  (b* ((?new-x (!ia32_eferbits->res1$inline res1 x)))
    (ia32_eferbits-equiv-under-mask new-x x -255)))